• 제목/요약/키워드: Distribution of Life

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고장시간 자료의 통계적 분석을 위한 PWF-GPH 방법 (PWF-GPH method for the statistical analysis of failure time data)

  • 김선영;윤복식
    • 한국국방경영분석학회지
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    • 제22권1호
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    • pp.114-128
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    • 1996
  • In this paper, a life distribution fitting method based on generalized phase-type distributions(GPH) is presented. By fitting the life distribution to a GPH, we can utilize various useful properties of the GPH. Two different approaches are used according to the properties of the given failure time data. One is an approximation to a GPH through the piecewise Weibull failure rate(PWF) model and the other is a direct approximation to a GPH using the empirical distribution function. Two numerical examples are also presented. In the first example, both of the two approaches are utilized and compared for an incomplete data set. And in the second example, the direct approximation method from an empirical distribution is utilized for the analysis of a complete data set. In both cases, we could confirm the validity of the proposed method.

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차체 구조물의 확률론적 피로수명 평가 연구 (Probabilistic Fatigue Life Evaluation for a Car Body Structure)

  • 구병춘;서정원;김재훈
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2002년도 추계학술대회 논문집(I)
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    • pp.150-155
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    • 2002
  • En case of the fatigue life evaluation of rolling stock structures, mainly deterministic fatigue life evaluation has been carried out. But most of the parameters influencing on the fatigue life have a probabilistic distribution such as normal, log-normal, Weibull, etc. Therefore, to take probabilistic factors into fatigue life evaluation, probabilistic methods are being applied to the fatigue life evaluation of rolling stock. In this paper, probabilistic S-N analysis and methods using limit state functions are introduced. And some results of fatigue life evaluation obtained with these methods for rolling stock structures are shown.

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Vertical Migration and Horizontal Distribution of Chaoborus Larvae in Lake Fukami- ike, Japan

  • Nagano, Mariko;Tanaka, Masaaki;Yagi, Akihiko
    • 생태와환경
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    • 제38권spc호
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    • pp.27-30
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    • 2005
  • Diel vertical migration (DVM) and horizontal distribution of Chaoborus flavicans larvae were studied in Lake Fukami-ike (maximum depth 7.75 m, Central Japan). The larvae showed a clear migration in the 4 ${\sim}$ 7 m layer during the day and throughout the water column at night. It should be noted that, while old instar distributed throughout the column during the night. Young instar was found only in the 1 ${\sim}$ 4 m layer. An examination of horizontal distribution revealed that larval stage was clearly related with the depth. It suggests that Chaoborus appear to exist in the deeper area during the larval stage.

SOME PROPERTIES OF SPECIAL POLYNOMIALS WITH EXPONENTIAL DISTRIBUTION

  • Kang, Jung Yoog;Lee, Tai Sup
    • 대한수학회논문집
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    • 제34권2호
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    • pp.383-390
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    • 2019
  • In this paper, we discuss special polynomials involving exponential distribution, which is related to life testing. We derive some identities of special polynomials such as the symmetric property, recurrence formula and so on. In addition, we investigate explicit properties of special polynomials by using their derivative and integral.

$F_{2}\; and\; F_{3}$ 세대에서 대두 종자크기에 대한 빈도분포 (Frequency Distribution for Soybean Seed Size in $F_{2}\; and\; F_{3}$ Generation)

  • 정종일
    • 생명과학회지
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    • 제7권4호
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    • pp.355-357
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    • 1997
  • 대립종자와 소립종자의 cross부터 F$_{2}$와 F$_{3}$ 세대에서의 종자크기에 대한 빈도분포의 다음과 같다. 두 세대에서 모본의 크기와 같은 progeny는 나타나지 않았으며 각 세대의 평균치는 양 모본의 평균치 보다 낮았다. 소립종자 크기에 비해 우성적인 유전양상을 나타 내었다.

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감마과정 모델을 이용한 KM6 추진제의 저장수명 예측 (Estimation of Shelf Life for Propellant KM6 by Using Gamma Process Model)

  • 박성호;김재훈
    • 한국추진공학회지
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    • 제16권4호
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    • pp.33-41
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    • 2012
  • KM6 단기추진제의 저장수명을 감마과정 이론을 이용한 확률론적 방법으로 추산하였다. 장기 저장에 따른 안정제 함량의 저하량이 0.8%일 때를 상태고장으로 보았으며 정상감마과정으로 가정하였을 때 형상함수의 상수와 척도모수를 모멘트법으로 추정하였다. 저장기간별 확률밀도함수로부터 각 저장기간에서의 상태분포를 확인할 수 있으며 누적고장분포함수 곡선에서 누적고장확률이 10%인 $B_{10}$수명은 25년이며 $B_{50}$수명은 36년으로 추산되었다. 실용적 관점에서 볼 때 $B_{50}$수명을 평균저장수명으로 볼 수 있으며 확률과정론을 이용하면 저장수명을 분포곡선으로 표현할 수 있다.

Identification and Distribution of predominant tactic Acid Bacteria in Kimchi, a Korean Traditional Fermented Food

  • Kim, Tae-Woon;Lee, Ji-Yeon;Jung, Sang-Hoon;Kim, Young-Mok;Jo, Jae-Sun;Chung, Dae-Kyun;Lee, Hyong-Joo;Kim, Hae-Yeong
    • Journal of Microbiology and Biotechnology
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    • 제12권4호
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    • pp.635-642
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    • 2002
  • To effectively investigate the identification and distribution of the lactic acid bacteria in Kimchi, polyphasic methods, including a PCR, SDS-PAGE of the whole-cell proteins, and 16S rRNA gene sequence analysis, were used. In various types of Kimchi fermented at 20$\^{C}$, the isolate KHU-31 was found to be the predominant lactic acid bacteria. This isolate was identified as Lactobacillus sake KHU-31, based on SDS-PAGE of the whole-cell proteins and a 165 rRNA gene sequence analysis, which provided accurate and specific results. Accordingly, the approach used in the current study demonstrated that Lactobacillus sake KHU-31, together with Leuconostoc mesenteroides, were the most predominant lactic acid bacteria in all types of Kimchi in the middle stage of fermentation at 20$\^{C}$.

NHPCI 지표를 활용한 공용성 추정과 수명 산정 (Estimation of Performance and Pavement Life using National Highway Pavement Condition Index)

  • 도명식;이용준;임광수;권수안
    • 한국도로학회논문집
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    • 제14권5호
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    • pp.11-19
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    • 2012
  • PURPOSES: The new methodology is proposed for estimation of long-term performance and pavement life based on the national highway database in Daejeon area. Furthermore, this study tried to verify the applicability of performance estimation using NHPCI (National Highway Pavement Condition Index) on tendency of pavement deterioration as time goes by under Korean road environments. METHODS: Reliability theories are applied to estimate the mean life and to determine the appropriate distribution using 3 levels of traffic loads (high, medium, low) based on maintenance and rehabilitation history data for 15 years. RESULTS: As a result, Lognormal distribution is suitable for explanation of pavement lifetime in Daejeon area regardless of traffic loads. In addition, we found that the results of mean life and maintenance timing based on NHPCI for the pavement sections of 3 levels of traffic loads are available. CONCLUSIONS: Based on this study, it was found that mean life of high, medium and low levels of traffic loads are about 8.1 years, 12.2 years and 12.7 years, respectively. Higher level of traffic loads shorten the pavement mean life.

가속된 열적 스트레스에 의한 PAI / Nano Silica 하이브리드 코일의 절연수명 추정 (Estimation of Insulation Life of PAI/Nano Silica Hybrid Coil by Accelerated Thermal Stress)

  • 박재준
    • 전기학회논문지
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    • 제68권1호
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    • pp.52-60
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    • 2019
  • In this paper, four types of insulation coils were fabricated by adding various kinds of glycols to improve the flexibility and adhesion of insulating coils in varnish dispersed with PAI / Nano Silica_15wt%. The applied voltage and frequency were 1.5 kV / 20 kHz for accelerated life evaluation. Through the 6th temperature stress level, the cause of the insulation breakdown of the coil was ignored and only the breakdown time was measured. The Arrhenius model was chosen based on the theoretical relationship between chemical reaction rate and temperature for estimating the insulation life of the coil due to accelerated thermal stress. Three types of distributions (Weibull, Lognormal, Exponential) were selected as the relationship between thermal stress model and distribution. The average insulation lifetime was estimated under the temperature stress of four types of insulation coils through the relationship between one kind of model and three kinds of distributions.

다단 기어장치의 신뢰성 평가에 관한 연구 (Reliability Evaluation of Multi-Stage Gear Drive)

  • 정태형;김용주;박승현
    • 한국공작기계학회논문집
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    • 제15권2호
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    • pp.16-23
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    • 2006
  • Recently the design of multi-stage gear drive is being highly concerned. Until now, since the researches of gear drive are focused on the design for satisfying safety factor, the reliability evaluation of multi-stage gear drive is not included. In this paper, the life and reliability models of multi-stage gear drive are proposed using methods of probability and statistics. The life and reliability of the multi-stage gear drive have been evaluated, which is based on the life and reliability of each stage gear drive. The pinion and gear lives of each stage are calculated using the Lundberg-Palmgren theory and the Weibull failure distribution. These lives are combined using methods of probability and statistics to produce a life and reliability model of multi-stage gear drive.